Select your answer At what values of $$ x $$ is the graph of the function $$ f(x) $$ $$ =x^{2} $$ decreasing? $$ x0 $$ $$ x-3 $$ $$ x

Question

Select your answer At what values of $$ x $$ is the graph of the function $$ f(x) $$ $$ =x^{2} $$ decreasing? $$ x>0 $$ $$ x<0 $$ $$ x>-3 $$ $$ x<-3 $$ $$ x=0 $$

UpStudy AI · Accepted Answer

To determine where the function $$ f(x) = x^{2} $$ is decreasing, let's analyze its behavior:

1. **Find the derivative of $$ f(x) $$:**
   $$
   f'(x) = 2x
   $$
   
2. **Determine where the derivative is negative (since a negative derivative indicates the function is decreasing):**
   $$
   2x < 0 \implies x < 0
   $$

Therefore, the function $$ f(x) = x^{2} $$ is **decreasing** for all values of $$ x $$ that are less than 0.

**Correct Answer:**
- $$ x < 0 $$
The function $$ f(x) = x^{2} $$ is decreasing when $$ x < 0 $$.

Select your answer At what values of \( x \) is the graph of the function \( f(x) \) \( =x^{2} \) decreasing? \( x>0 \) \( x<0 \) \( x>-3 \) \( x<-3 \) \( x=0 \)

Solución de tutoría real

Responder

Solución

Bonus Knowledge

preguntas relacionadas

Latest Calculus Questions